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  • In the figure, ABCD is a cyclic quadrilateral, AB || CD and if ∠ BAD = 110°, then ∠ ABC = <img alt="" src="https://cdn.entrance360.com/media/uploads/2020/06/18/cq27.png"

In the figure, ABCD is a cyclic quadrilateral, AB || CD and if ∠ BAD = 110°, then ∠ ABC =

Option: 1

110°


Option: 2

100° 


Option: 3

70° 


Option: 4

55° 


Answers (1)

best_answer


BA || DC and DA is the transversal.

So, ∠ BAD +  ∠ ADC = 180°       (sum of interior opposite angle)

110° + ∠ ADC = 180°

∠ ADC = 70°

We know that the opposite angles of a cyclic quadrilateral are supplementary

∠ ADC +  ∠ ABC = 180°,

then ∠ ABC = 180° - 70° = 110° 

Posted by

Deependra Verma

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